(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .
(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.] 4 H + 2u(t) A (1) (1/60) F 7.5 i 30 u(-t) V (2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0). i 0.5 H 3 u(t) V V u(-t) A (2/61) F V in 5 (3) Determine by substitution which of the functions YA(t) = A e(-6 - 5 j)t y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants. ', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t satisfy the DE (4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t and use Euler's identity to -5t sin (6 t) + D e -5t cos (6 t) , where C=j(A- B) show that y(t) = 3 + Ce and D equals something similar. Then find constants C, D such that y(0) = - 5 and y' (0) = 30.5 .
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
100%
Can you solve this plzzz ?????
![(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the
DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.]
4 H
+
2u(t) A (1)
(1/60) F
7.5
i
30 u(-t) V
(2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0).
i
0.5 H
3 u(t) V
V u(-t) A
(2/61) F
V
in
5
(3) Determine by substitution which of the functions
YA(t) = A e(-6 - 5 j)t
y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants.
', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t
satisfy the DE
(4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t
and use Euler's identity to
-5t
sin (6 t) + D e
-5t
cos (6 t) , where C=j(A- B)
show that y(t) = 3 + Ce
and D equals something similar. Then find constants C, D such that
y(0) = - 5 and y' (0) = 30.5 .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7041b2c-ccad-4e40-a1fa-ada010f51090%2F38ebcf68-cbc4-4b31-a416-c6bf58efd0f5%2Fywoqmk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the
DE for i(t) for t> 0 and solve it. Then use i(t) to derive v(t) for t> 0.]
4 H
+
2u(t) A (1)
(1/60) F
7.5
i
30 u(-t) V
(2) Find i (0*), v (0*), di (0*) / d t, dv (0*)/dt , i (0), v (0).
i
0.5 H
3 u(t) V
V u(-t) A
(2/61) F
V
in
5
(3) Determine by substitution which of the functions
YA(t) = A e(-6 - 5 j)t
y "+ 10 y'+ 61 y = 0, where A, B, C are nonzero constants.
', YB(t) = Be(-5 - 6j)t, yc(t) = Ce(-5+6j)t
satisfy the DE
(4) Let y(t) = 3 + A e-5+6j)t + Be(-5-6j)t
and use Euler's identity to
-5t
sin (6 t) + D e
-5t
cos (6 t) , where C=j(A- B)
show that y(t) = 3 + Ce
and D equals something similar. Then find constants C, D such that
y(0) = - 5 and y' (0) = 30.5 .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 8 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,